This paper studies geometric structures on noncommutative hypersurfaces within a module-theoretic approach to noncommutative Riemannian (spin) geometry. A construction to induce differential, Riemannian and spinorial structures from a noncommutative embedding space to a noncommutative hypersurface is developed and applied to obtain noncommutative hypersurface Dirac operators. The general construction is illustrated by studying the sequence Tθ2↪Sθ3↪Rθ4 of noncommutative hypersurface embeddings.
Dirac operators on noncommutative hypersurfaces / Nguyen, Hans; Schenkel, Alexander. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 158:(2020), pp. 103917-103917. [10.1016/j.geomphys.2020.103917]
Dirac operators on noncommutative hypersurfaces
Schenkel, Alexander
2020-01-01
Abstract
This paper studies geometric structures on noncommutative hypersurfaces within a module-theoretic approach to noncommutative Riemannian (spin) geometry. A construction to induce differential, Riemannian and spinorial structures from a noncommutative embedding space to a noncommutative hypersurface is developed and applied to obtain noncommutative hypersurface Dirac operators. The general construction is illustrated by studying the sequence Tθ2↪Sθ3↪Rθ4 of noncommutative hypersurface embeddings.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
